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Tensegrity Structures

Form, Stability, and Symmetry

  • Book
  • © 2015

Overview

Authors:
  1. Jing Yao Zhang

    1. Nagoya City University, Nagoya, Japan

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    You can also search for this author in PubMed   Google Scholar

  2. Makoto Ohsaki

    1. Hiroshima University, Higashi-Hiroshima, Japan

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    You can also search for this author in PubMed   Google Scholar

  • The first book to analytically study self-equilibrium and super-stability of symmetric tensegrity structures, making use of this powerful tool for dealing with symmetry group representation theory
  • Presents the fundamental properties of tensegrity structures , since these basic properties are inevitably involved in the design of any tensegrity structures
  • Comprehensive and detailed with plenty of examples, intended to help readers follow the theories and algorithms more easily
  • Includes supplementary material: sn.pub/extras

Part of the book series: Mathematics for Industry (MFI, volume 6)

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xiii
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  2. Introduction

    • Jing Yao Zhang, Makoto Ohsaki
    Pages 1-13

  3. Equilibrium

    • Jing Yao Zhang, Makoto Ohsaki
    Pages 15-54

  4. Self-equilibrium Analysis by Symmetry

    • Jing Yao Zhang, Makoto Ohsaki
    Pages 55-96

  5. Stability

    • Jing Yao Zhang, Makoto Ohsaki
    Pages 97-135

  6. Force Density Method

    • Jing Yao Zhang, Makoto Ohsaki
    Pages 137-170

  7. Prismatic Structures of Dihedral Symmetry

    • Jing Yao Zhang, Makoto Ohsaki
    Pages 171-203

  8. Star-Shaped Structures of Dihedral Symmetry

    • Jing Yao Zhang, Makoto Ohsaki
    Pages 205-231

  9. Regular Truncated Tetrahedral Structures

    • Jing Yao Zhang, Makoto Ohsaki
    Pages 233-248

  10. Back Matter

    Pages 249-300
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Keywords

About this book

To facilitate a deeper understanding of tensegrity structures, this book focuses on their two key design problems: self-equilibrium analysis and stability investigation. In particular, high symmetry properties of the structures are extensively utilized. Conditions for self-equilibrium as well as super-stability of tensegrity structures are presented in detail. An analytical method and an efficient numerical method are given for self-equilibrium analysis of tensegrity structures: the analytical method deals with symmetric structures and the numerical method guarantees super-stability. Utilizing group representation theory, the text further provides analytical super-stability conditions for the structures that are of dihedral as well as tetrahedral symmetry. This book not only serves as a reference for engineers and scientists but is also a useful source for upper-level undergraduate and graduate students. Keeping this objective in mind, the presentation of the book is self-contained anddetailed, with an abundance of figures and examples.

Authors and Affiliations

  • Nagoya City University, Nagoya, Japan

    Jing Yao Zhang

  • Hiroshima University, Higashi-Hiroshima, Japan

    Makoto Ohsaki

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